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Finding the Fourth Proportional to 652.30, 978.06 and 327.28

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Solution

The fourth proportional to 652.30, 978.06 and 327.28 is: 490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.30 : 978.06 = 327.28 : x
  2. Step 2: Convert to fraction form
    652.30/978.06 = 327.28/x
  3. Step 3: Cross multiply
    652.30x = 978.06 × 327.28
  4. Step 4: Simplify right side
    652.30x = 320,099.48
  5. Step 5: Solve for x
    x = 320,099.48/652.30
  6. Step 6: Final answer
    x = 490.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.